1020121113031 has 2 divisors, whose sum is σ = 1020121113032. Its totient is φ = 1020121113030.

The previous prime is 1020121113029. The next prime is 1020121113061. The reversal of 1020121113031 is 1303111210201.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1020121113031 - 2¹ = 1020121113029 is a prime.

It is a super-2 number, since 2×1020121113031² (a number of 25 digits) contains 22 as substring.

Together with 1020121113029, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1020121112996 and 1020121113014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020121113001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510060556515 + 510060556516.

It is an arithmetic number, because the mean of its divisors is an integer number (510060556516).

Almost surely, 2^{1020121113031} is an apocalyptic number.

1020121113031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020121113031 is an equidigital number, since it uses as much as digits as its factorization.

1020121113031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1020121113031 its reverse (1303111210201), we get a palindrome (2323232323232).

The spelling of 1020121113031 in words is "one trillion, twenty billion, one hundred twenty-one million, one hundred thirteen thousand, thirty-one".